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Finding the Fourth Proportional to 62,164.92, 93,248.03 and 49,763.78

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Solution

The fourth proportional to 62,164.92, 93,248.03 and 49,763.78 is: 74,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,164.92 : 93,248.03 = 49,763.78 : x
  2. Step 2: Convert to fraction form
    62,164.92/93,248.03 = 49,763.78/x
  3. Step 3: Cross multiply
    62,164.92x = 93,248.03 × 49,763.78
  4. Step 4: Simplify right side
    62,164.92x = 4,640,373,735.29
  5. Step 5: Solve for x
    x = 4,640,373,735.29/62,164.92
  6. Step 6: Final answer
    x = 74,646.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.